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1385458164 = 2232127730137
BaseRepresentation
bin101001010010100…
…0110100111110100
310120112222120022100
41102211012213310
510314134130124
6345251102100
746222125426
oct12245064764
93515876270
101385458164
11651067252
12327ba1930
1319105983c
14d2008816
15819711c9
hex529469f4

1385458164 has 36 divisors (see below), whose sum is σ = 3504989124. Its totient is φ = 461442432.

The previous prime is 1385458133. The next prime is 1385458187. The reversal of 1385458164 is 4618545831.

1385458164 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 4 + 581 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 461906064 + 923552100 = 21492^2 + 30390^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30904 + ... + 61040.

It is an arithmetic number, because the mean of its divisors is an integer number (97360809).

Almost surely, 21385458164 is an apocalyptic number.

It is an amenable number.

1385458164 is an abundant number, since it is smaller than the sum of its proper divisors (2119530960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1385458164 is a wasteful number, since it uses less digits than its factorization.

1385458164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31424 (or 31419 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 1385458164 is about 37221.7431617596. The cubic root of 1385458164 is about 1114.8021699197.

The spelling of 1385458164 in words is "one billion, three hundred eighty-five million, four hundred fifty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1277 2554 3831 5108 7662 11493 15324 22986 30137 45972 60274 90411 120548 180822 271233 361644 542466 1084932 38484949 76969898 115454847 153939796 230909694 346364541 461819388 692729082 1385458164